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CS223

SLIDES

SEQ DESCRIPTOR SYS_STATE

1.2 Row Reduction and Echelon Forms

1.3 Vector Equations

1.4 The Matrix Equation Ax = b

1.5 Linear Independence

1.6 Linear Transformations

2.1 Matrix Operations

2.2 The Inverse of a Matrix

2.3 LU Factorization

2.4 Subspaces of Rn

3.1 Introduction to Determinants

3.2 Properties of Determinants

3.3 Cramer's Rule and Volume

4.1 Vector Spaces and Subspaces

4.2 Dimension and Rank

4.3 Difference Equations

5.1 Eigenvectors and Eigenvalues

5.2 The Characteristic Equation

5.3 Diagonalization

5.4 Eigenvectors and Transformations

5.5 Complex Eigenvalues

6.1 Inner Product and Orthogonality

6.2 Orthogonal Sets

6.3 Projections, Gram-Schmidt, QR

6.4 Least-Squares Problems

6.5 Linear Models

Iterative Methods